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abruzzese [7]
3 years ago
8

A pattern is made from four congruent squares. The sides of the squares are parallel to the axes. Point A has coordinates (3,2)

Point b has the coordinates (27,30) Point C is marked on the diagram. Work out the coordinates of C
Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

(13, 16)

Step-by-step explanation:

Point A has coordinates (3,2) Point b has the coordinates (27,30)

Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit

The length of the square = 28 unit / 4 square = 7 unit

Also, half of the height of the diagram = 28/2 = 14 unit

Therefore the x coordinate is given by:

27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13

Also, the y coordinate is given by:

30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16

Therefore the coordinate for point C is given by (13, 16)

 

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<span>B. It is the number of edges on one base plus 2.</span>
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Find the explicit formula for a 1 =-4,a n =a n-1 +9,n&gt;=2
Mrrafil [7]

Given:

a_1=-4 and a_n=a_{n-1}+9 where n\geq 2.

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

a_n=a_{n-1}+d

Where, d is the common difference.

We have,

a_n=a_{n-1}+9

Here, d=9.

The first term of the AP is a_1=-4.

The explicit formula for an AP is:

a_n=a_1+(n-1)d

Substituting a_1=-4 and d=9, we get

a_n=-4+(n-1)9

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a_n=-13+9n

Therefore, the required explicit formula for the given sequence is a_n=-13+9n.

6 0
3 years ago
Find the Simple Interest<br> $700 deposited at an interest rate of 1.5% for 3 years
slega [8]

Answer:

$31.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year,

then, solving our equation

I = 700 × 0.015 × 3 = 31.5

I = $ 31.50

The simple interest accumulated

on a principal of $ 700.00

at a rate of 1.5% per year

for 3 years is $ 31.50.

3 0
3 years ago
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g100num [7]

Me das mas información?

6 0
2 years ago
each baseball team has 9 players and each football team has 11 players. 6 schools have both baseball and football teams. Four sc
adelina 88 [10]

Answer:

156 players

Step-by-step explanation:

The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.

Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.

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3 years ago
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